An interesting project! Nice concept for both individual item location & home automation.
The battery size/type is confused though - you first list a lithium cell. CR1225 which is 12mm diameter by 2.5mm thick.
I see "V355" in a drawing, but the data sheet is for a 335 / SR512SW.
That is a problem.. You do not appear to have allowed for the transmit current, ~9 to 14mA (data sheet section 5.5).
The SR512SW is not really intended for high loads; the "high current" pulse test in the datasheet uses a 2K load, so around 0.6mA (compared to around 9uA for normal discharge).
That 9+ mA is likely to kill the battery and reset the IC, either instantly or quite early on, compared to the expected life if the current was low.
It would need a fairly large capacitor to buffer the IC current, at least, if it could work at all with that cell.
That's a "low drain" cell type, according to Renata - they categorise cell types as low or high drain, plus special high pulse types (not listed in that data); see here: