Sorry to hear about your transmission problems - The 2010 and 2011 Mazda 3 hatchbacks were identical vehicles except tire size and a few cosmetic things ( bumper , spoiler ) . The HBs only came with an NA- 2.5 ( except speed 3 ) and the choice of a 6speed manual or 5 speed auto w/sport shift.
I have a 2010 HB, which I purchased new and now 14 years later still have it running very well with 148,000 miles. - It is an automatic 5speed with sport shift not a manual like yours . Since I have done most all maintenance myself , Ive had countless interactions with different dealers parts depts and service depts who will usually print 3D diagrams for different areas of the car . Mazda dealers are pretty helpful to DIY people - That said I was exposed to a few recalls which occurred in 2010-11 ,,,the rear hatch hydraulics and a seat belt issue - except......There were selective recalls done on the 6speed manual transmissions which were notorious for running great for a year or so and then kaput - I dont believe Mazda ever had a full recall on the manual trans - but owners that came in and were persistent got the rebuild ....and honestly I heard from owners that said it was ok and others who said it just failed again 20K later as the design was inherently flawed - Its to bad because its such a spectacular car and the engine is extremely well built and estimated to run 300K with basic maintenance. So after all that ...Ive babied my transmission and done a drain and fill every 35K miles . Its runs like the day I purchased it - I at one point loved my car so much ..I callled Mazda to check on the inventory of Manual and Auto transmissions for that year - Mazda told me NOT to switch my auto for a manual-- enuf said - This was 3 years ago and Mazda had about 5 new auto transmissions for the 2010-11 Mazda 3 2.5 in inventory in North America ( all dealer parts depts can access these) - It was $4000 - I decided to just ride out mine and see how long it would last before shelving a new unit in anticipation of a failure.
The automatic has been a solid transmission if you take good care of it and it shifts very smoothly and has only had the TCM fail at 120K which is fundamentally just a junction chip which commands the shift points etc . That was about $450 but easy to swap out -I did it in 30 minutes - My suggestion - Read the reviews on the 2010-11 Mazda 3 HB and you will see the car was a hit and anyone who sold it or wrecked it misses it very much- The values on used models is very high -- You have low mileage and I suggest dropping a 5speed auto in and drive it for another 150K -( minimum) This depends on the overall condition of the vehicle of course - But a new $4000 auto trans makes the car a seriously reliable car which is likely going to run many many more years - Heres motor reviewers take on the MZR 2.5 engine which we have -
Mazda MZR 2.5L 5L-VE Engine Specs, Problems, Reliability, oil - In-Depth Review (motorreviewer.com)
If you drop yet another manual rebuild in that car ....the odds are high it will not be the last repair -
Best