A side question.
What does a TL13 society look like? How do people go about their lives? What paradigm shift have there been?
When describing it I try to use Tv series something like this, you will spot the issue
TL8 - near future super spy
TL9 - the Expanse
TL10 - Babylon 5 Earth Alliance
TL11 - Babylon 5 - Centauri/Narn
TL12 - Babylon 5 - Minbari
TL13 - Foundation
TL14 - ?
TL15 - ?
I think you're off a bit. TL9 is gravitic tech's initiation in "later" editions.
Earth Alliance, assuming we take the reference from either CT or MT that Solomani have +1 medical tech, and -1 gravitic tech, starts at TL 9.
The Centauria and Narn both have non-newtonian drives; I'd say those are TL 13 or 14. They "fly" through space as if it's a dense medium.
The Minbari power source isn't mentioned, but given their lack of weakness... and semi-organic ships... I'd put them TL 16. The fighting pike, also, implies "above TL15 tech"
We don't see flying cities, which are TL 13, in any of them. But we do see Memory wipes, which are TL14 (MT RC) in the Earth Alliance. No gravitics (TL9) but Mindwipes.
Likewise, aside from the gravitics, we don't seen any super-high-tech from the Centauri...
The Narn Gravity mines feel like about TL13 to TL 14 to me.
I cannot comment on Foundation - I found the novels unreadable and the radio adaptation sleep inducing, and don't have an Apple subscription.
I'll note as well, my interpretations are grounded firmly in CT and MegaT, and I know both T5 and MgT have altered things...
but EA isn't TL 10 until they get Shadow-tech, under any of them.
All of them use PPGs - basically, plasma guns, from man portable holdout pistol size upward.
All of them have practical fusion
I'll note as well... the Federation of Star Trek is abotu TL18 by MegaT's list... memory transfer (18 - TOS
The Ultimate Computer), Terraforming on global scale (12 - multiple episodes), Fully aware computers (16 - TOS,
The Ultimate Computer), Disintegrators (phasers on max, TL 19), Matter transmission (CT TL16, MT TL17-18), Matter transmutation (TL17, = ST Replicators)...