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I have a pihole setup and did not get any ads when testing there. I think you might want to add more lists to your pihole.
Get a screw extractor bit and remove the broken piece. If the hole is too large use super glue and toothpicks or matchsticks to fill the hole in. Let it set for 24 hrs then use the proper sized drill bit to recreate the hole.
https://www.amazon.com/s?k=water+timer+for+hose&adgrpid=58762365249&hvadid=651124059753&hvdev=m&hvlocphy=9019584&hvnetw=g&hvqmt=e&hvrand=7660386544000188263&hvtargid=kwd-296644634608&hydadcr=5626_13318608&tag=hydsma-20&ref=pd_sl_9u6viz8avp_e lots here