I doubt that battery would fit. It looks a little wide.

Moreover, the Tamiya Mini is one of the few vehicles where I would insist on using hard case lipos due to the position of the battery.

Yeah Racing and ACEpower make a lovely little 2S 3200mah 20c Lipo that is very inexpensive and does a fine job.

Intellect make a nice 2S 4000mah 20c and for a few dollars more a 2S 4200mah 40c.