It's likely one of the coils is opening a break in the coil as the coil heats up. This coil will shrink when cool and be able to run again. The number for the coil kit, which will replace ALL the coils, for your machine is 279834.
Disconnect power and turn off gas before working on this dryer. Working on gas dryers is not recommended for people who are not professionals.
Disconnect Power. Lift Cover on lint filter. Remove two Phillips screws taking care NOT to allow them to fall into the blower housing. Place putty knife in the seam between the top and front panel about 2” in from either side. Push in on clip while pulling control panel forward and tilting putty knife handle up, all at the same time. Same on opposite side. Raise top all the way.
Looking down inside dryer on left and right see a 5/16” hex head screw about 6 inches down. Remove each side while holding front panel in place. Pull top of front panel about 3 inches forward from sides and then pull up. This will disengage the front panel from lower pressure clips and allow you to turn it sideways and expose the dryer interior. Take careful note of belt configuration BEFORE removing it. Draw a diagram of its travel.
Motor and idler pulley for dyer will be on right. Gas components will be on left. Replace All coils with Kit Number listed above. Take care not to touch or hit the ignitor or you will be replacing it also. It is VERY brittle.
Service on gas appliances should be undertaken by professionals only due to the danger of gas leakage which can cause fires or death by asphyxiation.
When turning on the dryer (Either Automatic Dry or Timed Drying) I can see the ignitor (I'm guessing...
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When turning on the dryer (Either Automatic Dry or Timed Drying) I can see the ignitor (I'm guessing that's what it is) glow for a few seconds, then go away. Then about 20 secs later or so, I hear a loud click (ignitor I believe) but no flames. Gas valve is open. Then I'll unplug the power, turn off gas, turn gas back on, plug in dryer, turn on again, and after the ignitor clicks, Whala!! the flames are there...but it only lasts for a few minutes. Gas line is not kinked, vent is clear, exhaust clear. Any ideas?