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I think the most anticlimatic, but most effective way to make such an AI would be to run an engine like stockfish at maximum strength to turn a game into an endgame, and then use the endgame tables to convert the game to a forced draw.

Somewhat related, a variant of chess where the objective is to lose:

https://en.wikipedia.org/wiki/Losing_chess

Do you mean like Commander Data played Kolrami in Strategema?

Just train it to make it win. Then, anytime it is a bit in front, perform suboptimal moves, until things are even (those engines typically have a score on whether they are in front or not).

Not sure that would work in an end game though. If you are behind and make a good move, you accidentally win. If you are technically ahead and make a bad move, you probably lose.

If you can get reliably to an end game with only a king and a one or maybe two pieces left on each side, then maybe it can just be hand-scripted and bolted onto what you're proposing, but I'm not sure your proposal would consistently get it there.