Draw a $1\text{ m}$ by $1\text{ m}$ square.

Then inscribe the largest possible circle within the square previously drawn.

Then inscribe the largest possible square within the circle previously drawn.

Then inscribe the largest possible circle within the square previously drawn.

Then inscribe the largest possible square within the circle previously drawn.

Then repeat the process indefinitely.

What will be the total area of all the squares drawn (in $\text{m}^2$)?

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