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The Stratagem Squad Tactics says:

Your unit can make a Normal move of up to D6", or a Normal move of up to 6" instead if it is under the effects of the Tactical Doctrine.

If I targeted a unit that had a move statistic of 5" that was also under the effects of the Tactical Doctrine can I move that unit a maximum of 5" or 6"?

6". The stratagem is indifferent to the unit's actual Move value.

Why 6" ? A normal move is defined as a distance equal or up to the units movement characteristic. If the unit has 5" move, it can move 5".

Normal Moves
When a unit makes a Normal move, each model in that unit can move a distance in inches less than or equal to its Move (M) characteristic, but no model can be moved within Engagement Range of any enemy models. A unit cannot make more than one Normal move per phase.

The stratagem specifies distances though - specific rules have always overridden general rules. I'd say the Normal in this rule is just clarifying that it doesn't count as an advance or a charge.