Avengers: Endgame Paradox Problem

I was recently thinking about the 2019 movie Avengers: Endgame and realized there is a huge paradox contained within.

In the scene where the Ancient One and Bruce Banner are discussing the problems with taking any of the Infinity Stones out of their timeline, it is mentioned that the stones would need to be replaced at the exact time they were taken from in order to not create a branching/divergent timeline.

When Captain America and Iron Man go back 1970 to steal the Tesseract from a S.H.I.E.L.D. facility. We know that the Tesseract houses the Space stone and to retrieve the actual stone, the Tesseract must be broken.

Because of this, Captain America would have to recreate the Tesseract to house the Space stone in order to return it to the S.H.I.E.L.D. facility. Since he couldn't do this, it wouldn't be returned correctly, S.H.I.E.L.D. wouldn't be able to continue researching it and Loki wouldn't have been sent to New York to retrieve it so the Chitauri could attack Earth. This would have created a whole new timeline.

I would love to hear your thoughts on this.