According to the documentation on meshtastic.org, the T-Beam v0.7, although old, is a supported device. Every ESP32 firmware download should contain a file named “firmware-tbeam0.7-X.X.X.xxxxxxx.bin“.
However, if you download the latest Meshtastic stable/beta firmware release, v2.7.15.567b8ea at the time of writing, you will not find any file with that name. This means that at some point they silently dropped support for the T-Beam v0.7 and didn’t bother updating the documentation anywhere.
So I wrote a Python script that downloads all Meshtastic releases, unzips them, and looks for a file matching the expected pattern (which, by the way, turned out to be wrong: it’s “firmware-tbeam0_7...“, not “firmware-tbeam0.7...“, those pesky Meshtastic liars!).
Anyway, here it is, enjoy! The latest Meshtastic firmware release that supports the T-Beam v0.7:
https://github.com/meshtastic/firmware/releases/download/v2.5.2.771cb52/firmware-2.5.2.771cb52.zip