I think you have a little air in the system after fitting the inline stat did you raise the header tank as high as you could when you refilled the system, and let the engine run a while, then slowly pen the bleed screw on the hose next to the FBH if you have one?
Once you have done that take car for a good run with the OBD on 19 then 7 so you can read the temp as you drive once it get to the 92 -96 if it does open the A/C on HIGH then watch the reading go down.
Once back home let engine run on tick over again watch the reading if fluctuation then use the bleed screw again.
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Check it again over the next day or so for level.