The major product obtained in the following reaction is:
I wonder after bromonium ion $(\ce{Br+})$ is formed, the attack by MeOH is $\mathrm{S_N}$1 or $\mathrm{S_N}$2? If $\mathrm{S_N}$2, then product (b) should be formed and if $\mathrm{S_N}$1, then Product (a) should be formed.
I think here MeOH is bad nucleophile so $\mathrm{S_N}$1 should be preferred. But if we assume a case $\ce{Br2}$ with KOH then, after formation of bromonium ion product (a) Should be preferred. This because there is more deficiency of electrons on alpha position of ketonic group. Is this concept correct? I need some elaboration on this reaction.

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