What does abs and tcs stand for the indicator light stays on and needs attention is it the brakes

If the light stays on, the TCS, DSC or the brake assist system may have a malfunction and they may not operate correctly. Take your vehicle to an Authorized Mazda Dealer. In addition to the indicator light flashing, a slight lugging sound will come from the engine. This indicates that the TCS/DSC is operating properly.

TCS/DSC Indicator Light - 2020 Mazda3 Owner's Manual ...

There was a recall on the ABS Module.

https://www.google.com/search?q=mazda+3+abs+module+recall

You need the dealership or an auto electrician with a pro grade scan tool computer to check the live data and record it as you are driving.

have the OBD codes read , sounds like low brake fluid or the brake pads need replacing, the OBD codes will tell you where to get started

PRE-DIAGNOSTIC INSPECTIONBefore diagnosing ABS/TCS, perform a comprehensive visual inspection of system as follows.Check ABS/TCS wiring harness connectors for looseness. Check harness routing; pay particular attention to wheel speed sensor wiring harness routing. Check fuses No. 1D, 5B and 6B in instrument panel fuse block. Check fuses No. 1 and 2 in underhood fuse block. Check brake fluid level in master cylinder reservoir. Check brake fluid level in Pressure Modulator Valve (PMV) assembly reservoir. Ensure parking brake is fully released. Ensure parking brake switch is functioning properly. Always perform ABS/TCS system functional check before using DIAGNOSTIC CODE CHARTSThe EBCM/EBTCM has self-diagnostic capability, which can detect system failures. Fault codes stored by EBCM/EBTCM can be displayed using Tech 1 scan tester. There are no provisions for flash code diagnostics.Begin ABS/TCS diagnosis with PRE-DIAGNOSTIC INSPECTION procedure. If failures are found during pre-diagnostic inspection, perform necessary repairs, and proceed with ABS/TCS FUNCTIONAL CHECK. See Fig. 5 .If no failures are found during pre-diagnostic inspection, go to ABS/TCS FUNCTIONAL CHECK. See Fig. 5 . The ABS/TCS FUNCTIONAL CHECK will either indicate ABS/TCS is functioning properly or direct technician to various diagnostic procedures such as diagnostic charts, symptom diagnosis or BRAKE warning light diagnosis.CHART D - TRACTION OFF WARNING LIGHT ON CONTINUOUSLY & NO DTC SET (BUICK WITH UH8 OR U2A INSTRUMENT CLUSTER)Circuit DescriptionWhen ignition switch is first turned to RUN position, EBTCM goes through a self-test, which lasts 2-4 seconds. During self-test, EBTCM commands TRACTION OFF indicator warning light on. Powertrain Control Module (PCM) can also command EBTCM to set a Code 75 which will illuminate TRACTION OFF indicator.Traction control switch is located either on instrument panel center trim plate or driver's front door trim panel. Switch allows driver to select traction control mode (on/off). When traction control system is turned off, TRACTION OFF warning light comes on.EBTCM monitors transaxle temperature through

the operators guide shows what these mean and what to do.
lost that>? i have one, and 08 JK.
pages 105 to 116
it resets each drive. the opr guide says that, and does.
its a very complex system, you should RTM.

ill quote your missing pages.
ABS:
If the light remains on after start-up or comes on and
stays on at road speeds, it may indicate that the ABS has
detected a malfunction or has become inoperative. The
system reverts to standard non-anti-lock brakes.
ESP:/TCS
The ESP/TCS Indicator Light (located in the instrument
cluster), starts to flash as soon as the tires lose traction
and the ESP system becomes active. The ESP/TCS Indicator
Light also flashes when TCS is active. If the
ESP/TCS Indicator Light begins to flash during acceleration,
ease up on the accelerator and apply as little throttle
as possible. Be sure to adapt your speed and driving to
the prevailing road conditions

is this clear? if not ask more, questions , more specific and we can peel the onion deep as you want.
also wiki this topic, to understand it ...

Whenever this warning light or any other stays on in the dash it is indicating that the systems control module (or the system sensor in the case of lights like low oil pressure, door open indicators etc.) has detected a fault, it then disables the system (this applies to ABS,TCS, TCM, SRS, TPMS and BCM faults and others) as long as the light is on. You must now have the dealer hook up a special electronic diagnostic tool and "scan" the system for the fault code that is stored for the problem(s)

Legend of Abbreviations. ABS Anti-lock brake system. TCS Traction control system, TCM Transmission control module, SRS Supplemental restraint system, BCM Body control module. TPMS Tire Pressure Monitor System

Whenever this warning light or any other stays on in the dash it is indicating that the systems control module (or the system sensor in the case of lights like low oil pressure, door open indicators etc.) has detected a fault, it then disables the system (this applies to ABS,TCS, TCM, SRS and BCM faults and others) as long as the light is on. You must now have the dealer hook up a special electronic diagnostic tool and "scan" the system for the fault code that is stored for the problem(s)

Legend of Abbreviations. ABS Antilock brake system.TCS Traction control system, TCM Transmission control module, SRS Supplemental restraint system, BCM Body control module

Whenever this warning light or any other stays on in the dash it is indicating that the systems control module (or the system sensor in the case of lights like low oil pressure, door open indicators etc.) has detected a fault, it then disables the system (this applies to ABS,TCS, SRS and BCM faults) as long as the light is on. You must now have the dealer hook up a special electronic diagnostic tool and "scan" the system for the fault code that is stored for the problem(s)

Legend of Abbreviations. ABS Antilock brake system.TCS Traction control system, SRS Supplemental restraint system, BCM Body control module

Hello: If there is a problem in the ABS it will bring on the tcs light as well. To determine what is causing the problem you need to have the ABS checked with a scanner to get the code. Then trouble shoot the components that the code leads you to. Normal braking is available with the light on but TCS is not as it relies on ABS for functioning the TCS.

ABS stands for anti lock brake system.
TCS stands for traction control system.

I recommend having your abs system diagnosed for faulty sensors, control module, etc. With the abs light on the traction control system is designed to disable because it utilizes the abs system to automatically help control your vehicle in loss of traction situations.

The TCS (Traction Control System) indicator comes on or flashes under the following conditions:

When you turn the ignition switch
to ON (II).

When you manually turn off the
TCS.

It flashes when the TCS is
regulating wheelspin.

If the system's diagnostics senses
a problem in the TCS, the indicator
will come on and stay on.

If the brakes overheat, the
indicator will come on.

If the TCS indicator comes on and stays on for more than 10 minutes while driving, pull to the side of the road when it is safe and turn off the engine. Reset the system by restarting the engine, and watch the TCS indicator. If the indicator remains on, or comes back on while driving, have the system inspected by your Honda dealer. You can still drive the vehicle without TCS.

This indicator will come on along with the ABS indicator if there is a problem in the anti-lock brake system.
The TCS indicator may occasionally come on for one or two seconds and then go out. This is normal.

Hope this helps you figure it out.