"would assess" is correct and usable in written English.
You can use it to refer to the future action of evaluating something. For example: The teacher would assess the students' performance on the test.
For six dollars, the Bumbys would assess your character.
Mr. Obama said he would assess progress by year's end.
But it's more, I would assess, to a likeability factor".
On his return from Japan, Mr. Clinton said he would assess the progress.
Labor would assess the childcare package against the principles of affordability, accessibility and quality, Shorten said.
We would assess any emerging threat to the service quickly, in the interests of postal users".
REMNICK: Meaning, he would assess the room before he took his position.
I recently asked Kiko Martínez how he would assess the current health of Spanish boxing.
County officials would assess 9,000 acres for future open-marsh water management.
At that point we said we would assess the situation again in a couple of years".
He said a mission to that country would assess whether new aid was necessary.
