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If two trillionaires bounce a 4 trillion dollar IOU, the GDP could be the greatest in the universe, even though nothing would substantially change.

Living standards for the median person in the world improve every year, and have done for decades.

That's not what GDP means.

"(GDP) measures the total market value of final goods and services produced"

It can be circular.

MS invests 5 billion in OpenAI.

OpenAI invests 5 billion in MS.

Do we have 10 billion now?

No goods or services were produced in your example, so GDP would not be affected. Purchases of securities are not goods or services.