Following 4.6 and 4.7 of this [paper][1] by Seidel and Thomas, a graded algebra $A$ is called intrinsically formal if any two dgas with cohomology $A$ are quasi-isomorphic. There is a sufficient condition that says for an augmented graded algebra $A$, if the Hochschild cohomology $HH^q(A, A[2 − q]) = 0$ for all $q > 2$, then $A$ is intrinsically formal.

Is it possible to verify this condition for the exterior algebra on a vector space $V$? The characteristic and the dimension of $V$ might be important. I'm focusing on char$=0$ or $2$ and dimensions $1$ and $2$. 

There is a related [question][2] on the computation, but I'm not sure if the answer is enough to verify the condition. There are also related papers [1][3] [2][4] [3][5], but all of them seem to deal with the exterior algebra as an ungraded algebra.


  [1]: https://arxiv.org/abs/math/0001043
  [2]: https://mathoverflow.net/questions/351614/are-exterior-algebras-intrinsically-formal-as-associative-dg-algebras
  [3]: https://arxiv.org/abs/math/0504352
  [4]: https://arxiv.org/abs/1607.02661#:~:text=The%20Hochschild%20cohomology%20is%20determined,exterior%20algebra%20is%20even%20dimensional.
  [5]: https://arxiv.org/abs/1512.08283