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Overcalling a Weak Two with 3m on a 5 card suit

Most people would agree that it's sometimes necessary to overcall a Weak Two at the 3 level with only a 5 card suit.  But how strong do you have to be?  Consider the following hand:

South
96
75
A1042
AKJ108
W
N
E
S
2
3
?

Is this hand strong enough to overcall 3?  If not, how much more strength would you require with this shape?

Please state which honour (if any) you would require instead of 10 to turn this hand into a minimum overcall of 3 over 2:

 

None - non-minimum hand already.
None - this hand is minimum.
J instead of 10 would turn this hand into a minimum overcall.
Q instead of 10 would turn this hand into a minimum overcall.
K instead of 10 would turn this hand into a minimum overcall.
Even K instead of 10 wouldn't persuade me to overcall 3.

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