Yes, I fully agree with you dear Overlord for Dogaon and many thanks for having posted this inverted image.
Yesterday evening I studied this coin and the best I have found is that "GA" of "Dogaon" (in fact Dogam) and may be "DO" (in center with D and O linked ?) could be read in the original image, with some optimism...and inverted "LAM" (of dar al Islam") on the mirror image, at 11 o'clock.
The "M" is sometimes written on these coins like a "9" (cf Mitchiner 3088 / dar al-Islam, wrongly named dar al-khalifat)
Such an obverse doesn't seem to me to have been struck with an official mughal die, and so we may doubt for the reverse..
As observed in this discussion by Akona20, the katar appears on very later mughal issues (Shah Alam II) and of course on many states coins (Bharatpur)
Please notice that It's just my feeling and may be I am wrong...