May an Avel during Shiva receive an Aliyah if he has a Chiyuv, such as a Baal Bris?

Some Poskim[1] rule he may not receive an Aliyah even on Shabbos. Other Poskim[2] rule he may receive an Aliyah on Shabbos.[3]

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[1] Taz 400:1 in name of Rashal 71; Maharit; Kneses Hagedola, Nachalas Shiva 17; Neman Shmuel 39, brought in Birkeiy Yosef 400; Poskim brought in Nitei Gavriel 116 footnote 11 and 136:6

[2] Peri Chadash; Daas Eish 6 brought in Pischeiy Teshuvah 400:5

[3] The reason: As otherwise it is considered public Aveilus. [ibid]