Throttle body relearn/high idle issues

Did some looking and found some light discussion here about it previously, but I guess I'm just looking for reassurance and/or confirmation that this behavior is normal.

Saturday night I got the P2135 (TPS reading invalid) and an engine throwing a temper tantrum. It was the middle of the night in a parking lot and I didn't wanna deal or just throw parts at it, so I just had it towed to our shop for confirmation of diag. Shop confirmed and replaced the TB yesterday.

I have no idea if they reset it properly (via scanner or manually)...wife was the one to pick it up and she forgot to ask, lol. Anyway, lo and behold today it's revving to 2500 rpms every time she puts it in park after driving. It also seemed to have noticeably more forward thrust when coasting.

She calls me panicking; I come meet her at the gas station and apparently it had just finally stopped doing it to her when she pulled in. I checked for soft codes just in case and found a P0507 (IAC system RPM higher than expected). Cleared the code; it didn't return and the problem didn't arise for me at all after subsequent short test drives.

I'm assuming this is normal and it was just being a turd and taking a few drive cycles to figure itself out?

Side note: The first half of the manual procedure has been done again just in case. The second half (if the first half fails) has likely been done a couple of times naturally due to where we live and how the vehicle is driven, but I suppose I can be more deliberate about it and make sure if the problem reappears.

Check the wiring harness coming out of the TPS under the loom to see if it has been spliced or original wiring is damaged/melting. Follow it back from the plug at least 6 inches.

Wires are fine, air intake is fine, etc. I did discover that the PCV hose insert was slightly loose and pushed it all the way back in; not sure if that actually made a difference or was causing/would have caused enough of a vacuum leak to mess with the idle or relearn.

Regardless, performed the relearn again first thing this morning and the problem seems to be gone...so I'm assuming that like many others here, it just took a few tries and some time for it to grumble its way to finding the correct idle parameters.

I'm having the high idle issue with my 2009 tahoe. I just cleaned throttle body put back on, and now when you goto take off it idles high until you stop for a few sec. Then idles down until you take off again. I have tried the reset on 3 minutes off 1. And the battery off and drove a ways and recommends

What is the actual relearn procedure? The search function on this site is kinda trash sometimes, and google usually always points to LT1 or Silverado forums from 20 years ago.