Not able to prove non regularity using pumping lemma $L$ = $0^p1^q0^p$. Where $p, q \geq 0$

Here for any string $w \in L$ , I can have $u$=$0^p$, $x$ = $1^q$ and $v$= $0^p$ and $x^i$ will belong to L for all $i \geq 0$

So how do I prove it to be non regular using pumping lemma as there doesn't exist a string $w \in L$ which cannot be decomposed into the form $ux^iv$ for all $i \geq 0$.
Don't forget that the pumping lemma guarantees that $|ux| \leq n$, where $n$ is the pumping length (which is also a lower bound on the length of $w$). You can use this condition to forbid the situation you describe.