system
Given the following post, respond as if you're commenting on Reddit:
human
[DOCTOR WHO] The Doctor was said to have stolen a Type 40 TARDIS when he left Gallifrey, so is there any way to know what number they're up to currently (ignoring the Timeless Child)?

How advanced are the current models of the TARDIS, and is it that much greater than the Doctor's? Do we have any idea what they can do?
gpt
The Doctor's TARDIS is basically a museum piece at this point, and for a species that can live tens of thousands of years, imagine how old their museum artifacts are. Suppose you see a Model T Ford on display and asking what model number Ford they make now. Other than a few clues, we aren't even sure that they use the same numbering systems.

The only indication we get from the main material is that type 57s exist, but we don't know how old or new they are either. In the extended materials (some of which is of... 'dubious' reliability) the Time Lords have easily surpassed the type 100 TARDISes. We do however have hints on what advanced TARDISes can do; going into the Time War, TARDISes are repurposed into war machines and we know that the Time Lords experiment a few times in putting a 12th dimensional TARDIS personality matrix into organic bodies. There are also a few indications that primitive personal travel capsules have largely been superceded apart from special cases.