Thanks for posting the pics, and I'm glad it all survived your test flight!
The Tarot swash is quite different from my HK ones - I'm pretty sure the HK ones are actually just pressed together.
On your Tarot one, the bottom piece, which has the two indents, is screwed into the upper part, sandwiching the centre ball and the two plastic washers. Since you have so much lateral play, it's possible that lower part isn't screwed in all the way, and you might be able to tighten it up. Without the special tool, you might be able to make judicious use of a hammer and some sort of punch or drift, to attempt to screw the bottom piece in a bit more, and I reckon it would be worth a try.
You might also unscrew the bottom part, to check if there's some sort of obstruction preventing it being screwed fully tight - could be a bit of swarf, or bad threads.