Thanks to all of you for the overwhelming responses and help!
I think, there is enough room for the 0,8mm extra hight and the diameter of 25,2 mm was measured from the dead cell including crimp foil I took out of the micrometer, think, even 26 or 27 mm will fit in the battery compartment.
Unfortunately Farnell does not accept Paypal, so I will have to look ok Ebay to get a 3+1 stack to get the needed 4,8 Volts. What I know from experience is that not only there voltage must match, also the amount of AH must be in line to avoid an explosion of a cell. I had this problem some years a goo with a rechargeable flashlight and it exploded right in my hands when I switched it on and it did cost me over 75% of the use of my right thumb, stiff and no feel in it anymore.