Solve it Algebraically? I won't dare

Algebra Level 4

\[ \large e^{ -| x | }+1= \alpha\]

If the range of values of \(\alpha\) for which the above equation has no solution can be expressed as \( \left( -\infty ,A \right] \cup \left( B,\infty \right) \), then find the value of \(A+B \).