Using reflection principle, where did things go wrong?

Question

$W(t)$ is a Wiener process. Denote $M(t)= \min_{0 \leq s \leq t} W(s)$. I am trying to calculate $P(M(t) \geq -m, W(t) \leq w)$ with $m,w>0$. Rewriting: $$ P(M(t) \geq -m, W(t) \leq w)= P(W(t) \leq w) -P(M(t) \leq -m, W(t) \leq w) $$ Using the reflection principle (this is probably where things go wrong): $$ P(M(t) \leq -m, W(t) \leq w)= P(W(t) \geq -m -w)= P(W(t) \leq m+w) $$ And then $$ P(M(t) \geq -m, W(t) \leq w) = P(W(t) \leq w) -P(W(t) \leq m+w) $$ which is definitely wrong. Thank you!