While you have a valuable coin there (based on gold content alone) it is not worth grading. The 1901-S $20 Lib is considered a common date and as such really needs to be in Mint State condition to justify grading expenses.
Your coin appears to be a low AU condition and likely is worth its weight in gold (literally) and no more. It is worth about $1200.
The only reason to grade the coin would be to help it sell as there are a lot of gold fakes on the market and some buyers want a coin in a TPG holder for assurance. The grading will not add value as the coin is worth around melt.
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