Help for identification

I found this coin in a kiloware auction lot. Following a search in the Numista catalogue I concluded that it could be the remainder of a Spanish/Mexican shield type cob coin. The pictures of these which I then saw on a number of web sites are slightly different, in particular the lions and castles in the cross quadrants on the obverse side. On this coin the ‘standing lions’ are poodle dogs and the ‘castle’ in the left top quadrant is a country-sking bear. If this appears to be the result of the cob minting process and time, then still I would like to know the full weight diameter, where on the reverse side the assayer letter ‘F’ stands for and if the like ‘II’ looking symbol right of the shield indicates the value of 2 Reales. The mintmark ‘⁰M’ is clear for Mexico. The shield cobs with this mintmark were minted between 1572 and 1733, but was it for this coin during the reign period of Felippe-II, -III or -IV ? Dates appeared on Mexico cobs from 1607, but seem seldom visible.

This coin data; -mint; Mexico -diameter as is; 26 mm -denomination; 2 Reales ? -assayer; F -weight; not checked - composition; Silver

I will appreciate every additional and/or corrective information.

https://www.sedwickcoins.com/fake_cobs.htm

Philip III
Mexico Mint
2 Reales
Assayer: F
Either without date or date not visible.