I understand the timing and evolution of plants.
Your OP wasn't too clear that you specifically meant looking for oxygen as a way of finding planets that have photosynthesising plants.
All that said you're falling into the trap of assuming life out there (and evolution of it) is very similar to here. Yes it could be, but at the same time it may well not. As an example Titan may have life, but almost certainly no photosynthetic life.
What we know is all life on Earth needs water, which is why the search for liquid water is so big. The feedstock of advanced life elsewhere may not need light however and not produce Oxygen. Perhaps the feedstock (aka plants to us) for an advanced civilisation on a planet a few light years away is chemicals. We have this on Earth as an example. Life around hydrothermal vents on Earth doesn't need photosynthesis or light to survive, and indeed thrives on chemicals erupted from the vents.
So while looking for planets high in Oxygen may help us find life, you'd quite possibly miss a significant amount of other life that didn't evolve the same way as Earth and that step by step process may be profoundly different.

All that said you're falling into the trap of assuming life out there (and evolution of it) is very similar to here. Yes it could be, but at the same time it may well not. As an example Titan may have life, but almost certainly no photosynthetic life.
What we know is all life on Earth needs water, which is why the search for liquid water is so big. The feedstock of advanced life elsewhere may not need light however and not produce Oxygen. Perhaps the feedstock (aka plants to us) for an advanced civilisation on a planet a few light years away is chemicals. We have this on Earth as an example. Life around hydrothermal vents on Earth doesn't need photosynthesis or light to survive, and indeed thrives on chemicals erupted from the vents.
So while looking for planets high in Oxygen may help us find life, you'd quite possibly miss a significant amount of other life that didn't evolve the same way as Earth and that step by step process may be profoundly different.
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