Sorry, I don't quite get it. 3 actions simultaneously? Cock AND finger on trigger AND turning the safety lever to fire at the same time? That sounds like an artificial problem to me. Basically, don't do it.
First off, don't cock a rifle, any rifle, with your finger on the trigger. When the rifle is uncocked, the only trigger pressure is provided by the trigger return spring and sear spring, and both are rather light. So your "slight" pressure is probably sufficient to move the sear so far out that the sear will not hold the cocking ledge. Especially as the rifle has been altered, and the sear/cocking ledge interaction has apparently been manipulated to provide a lighter trigger!
Second, don't manipulate the safety lever while cocking the rifle. The safety operates by holding the cocking ledge/notch just clear of the sear, so that there is no contact between sear and cocking ledge.
On a rifle that has NOT been Bubba-ed you can see this action if you look closely. Cock the rifle, then look VERY closely at the cocking piece when you turn the safety from fire to safe. You will see the cocking piece being forced back a small amount (tenths of a mm) so that it is clear of the sear. As a result, the trigger can be operated without the cocking piece moving forwards.
Correct action, and how to recognize an incorrect and dangerous action, is described in detail here:
https://www.milsurps.com/showthread....-off+slam+fire
Search the forum for "safety-off fire" and "slam fire". Please correct me if I have misunderstood your post, but basically (if I have understood correctly) what you are doing is wrong. On a rifle that may or may not be marginal anyway, you seem to be provoking a safety-off fire. As a result, when the safety is turned of "fire", the action fires!
Just don't do it!
And please note that a trigger pressure of less than 2 pounds on a military bolt action is approaching "dangerously light". One pound is likely to lead to a "slam fire" risk. Since you can't "ungrind" the parts that have been FUBARed, it would be safest to return the rifle to its original configuration, i.e. replace bolt, sear, and trigger assembly. SwedishMausers perform superbly as built, and f...ing about with the action to "improve" it is not a bright idea.