Can't resolve dns lookups on my Pi from LAN devices

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Below one is a useful one.
It queries whatever DNS server IP for its version and can be run on Linux, Windows or MacOS:

pi@noads:~ $ nslookup -type=txt -class=chaos version.bind 10.0.0.2
Server:         10.0.0.2
Address:        10.0.0.2#53

version.bind    text = "dnsmasq-pi-hole-2.80"

Or Quad9 public DNS 9.9.9.9:

pi@noads:~ $ nslookup -type=txt -class=chaos version.bind 9.9.9.9
Server:         9.9.9.9
Address:        9.9.9.9#53

Non-authoritative answer:
version.bind    text = "Q9-P-5.2"

Not all DNS server software will reply or they are blocked displaying version for security reasons.

And check for below or similar setting on your router: