In my plastic or fiberglass or ... tub, there is a thick gasket (or caulk) sandwiched between the drain and the tub itself. Everything is likely a couple decades old. The raised drain prevents the last few ounces of water from draining. The puddle extends beyond the molded-in recess by 6-7 inches in all directions. I'm guessing the installer, years ago, didn't want to squirm back into the crawl space in order to put the gasket under the tub. I'm not so willing either, but would do it if that is the correct placement.
I thought about filling the recess with caulk, but the height of the drain is 1/8" or so above the tub floor, so there would still be a 12-14" diameter puddle. So it seems I need to disassemble the drain, buy a new gasket, install it underneath. Is there a better way? what details do I need to pay attention to in order to do a good job?
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Update #1:
Searched for drain shoe and found this: https://edmondbathtubrefinishing.com/bathtub-drain-plumbing-diagram-a-complete-guide-to-every-component/, and the tool looked familiar, and I did find it in my drawer of plumbing tools. I must have bought this years ago in a garage sale box of stuff. Its nifty, takes 3/8" or 1/2" ratchets.

The basket unscrewed with out much effort. In fact it could have come out with a wish. Maybe the gasket shrunk. No gasket underneath, and no room underneath to place one without freeing up the pipeing in the crawl space. Perhaps the tub bottom is deformed from having had the gasket place wrongly. The gasket seems a little stiff, might as well replace it.

The drain shoe shifted out of alignment towards the plumbing wall, and won't readily realign.

I removed the overflow cover. It's stamped Watco and Cleanout.

And screws into a plastic three-wing fitting.

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Update #2
I reattached the chrome overflow cap so that I wouldn't lose that registration, put on my respirator, then dropped through a closet trap door, with an old bed sheet to crawl on and a super bright led light to see. Here's the trap.

Here's the ABS shooting up out of the trap

It continues straight up to the overflow:

Here's the shoe. You might be able to make out the stain on the tub bottom (revealed when the ABS sprung back ~ 1/8" , stopping when the upper bell of the Tee hit the subfloor cutout.)

There is no union anywhere. It's monolithic. There is insufficient play to slip a gasket between the shoe and the bottom of the tub. To do a good job would require sawzalling the ABS, unscrewing the coupling from the cast iron tee, then rebuilding it with adjustments. There is a forearm's distance between the dirt and the joists.
I climbed out, grabbed a flat bar and some cedar shingle scraps aka shims, then dropped back down to wedge one (marked with an X) between the Tee and subfloor cutout.
That realigned the shoe with the hole in the tub.
Climbed out, reinstalled the drain basket w/gasket, took a shower, laundered my clothes.
