The compound contains functional groups and various types of protons, which will cause different signals in the \( ^1H \) NMR spectrum.
There are distinct protons in the structure:
1. Protons on the benzene ring (aromatic protons)
2. Protons attached to the oxygen atoms in the ester group
3. Protons attached to the carbon-carbon bonds
Thus, the number of signals will correspond to the number of different types of protons, leading to a total of 3 signals.