Typically, when one is cutting, the goal is to maintain strength because that indicates that muscle mass is being preserved while fat is being lost (assuming scale weight is dropping).
It is possible, assuming everything is in order, i.e. sleep, nutrition, sound workout plan, to add some weight to the bar while cutting, but it is not generally advisable to be aiming towards BOTH goals at the same time.
Pick a goal, either cutting or gaining strength.
If you pick cutting and are occasionally able to add weight to the bar, more power to you, but don't stress if you only maintain.
If you pick gaining strength as you goal, and you are concerned about your excess bulk right now, than eat to roughly maintain your weight and you may get some bodycomp improvement.
James 1:16-17 ESV
Do not be deceived, my beloved brothers. Every good gift and every perfect gift is from above, coming down from the Father of lights
With God's help...Mens sana in corpore sano