Reply to a compliment without brushing it off

Help me reply to this compliment.

Their words: [paste]
Context: [work / friend / public]
I feel: [awkward / pleased]

Ask me up to 3 short questions first if anything important is missing. Wait for my answers.

Then:
1. Two gracious sendable replies.
2. Deflections to avoid.
3. A longer version if I want to thank them properly.
4. What not to do (immediately praising them back emptily).

Only use what I've told you, leave blanks for anything I haven't given, and don't invent facts, quotes or what the other person thinks. UK English.

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