So you want to send your broken device to an EU store and let them do the glas replacement?
The digitizer is integrated in the display, the glue between the broken glas and display/digitizer/touch has to be removed.
Usually stores don´t replace only the glas, because the man-hour will cost more than the display + dis-/reassembling in the EU.
A display will cost about 135€ + man-hour 85€ -> 220€
man-hour 150€ + material 22€ ->175€ in best case scenario
If you do it yourself:
22€ glas with removal tools and glue + UV lamp 20€-> 42€
https://www.ebay.de/i/262522784415?chn=ps&norover=1&mkevt=1&mkrid=707-134425-41852-0&mkcid=2&itemid=262522784415&targetid=596839046297&device=c&mktype=pla&googleloc=9042298&poi=&campaignid=7784568435&mkgroupid=79826777005&rlsatarget=pla-596839046297&abcId=1141676&merchantid=112638703&gclid=EAIaIQobChMIhrCvo4r25QIVQud3Ch2loA_xEAQYAiABEgK2kPD_BwE
Eventually you have a repair cafe in your region.
I tried this once by myself, the glas got really easy of the display, but the reapplying of the glue was messy. Only had a UV flashlight and couldn´t dry all of the glue. Everytime I pressed the phone a bit, some glue came out of it 🤯
There are very good youtube videos about this topic