Red tug managed to move heavily (6)

I believe the answer is:

trudge

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'move heavily' is the definition.
'trudge' can be an answer for 'move' (trudging is a kind of moving). I am not sure about the 'heavily' bit.

'red tug managed' is the wordplay.
'managed' indicates anagramming the letters.
'red'+'tug'='redtug'
'redtug' anagrammed gives 'TRUDGE'.

'to' acts as a link.

Can you help me to learn more?

(Other definitions for trudge that I've seen before include "Plod wearily" , "Plod doggedly" , "Clump" , "Walk slowly and heavily" , "Walk wearily" .)

I've seen this clue in The Mirror.

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