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The 29-year-old had already been found guilty of two breaches of CA's Code of Conduct over the last year and was handed the ban when he admitted abusing a Queensland player during the domestic match last week.
The 33-year-old opener finished another sunny day in Brisbane on 151 not out off 265 deliveries with Australia in control at 312 for one in reply to Pakistan's 240.
The 21-year-old Molineux, who plays for Melbourne Renegades in the Women's Big Bash League, has requested for a break and will not be travelling with the Renegades squad to Ballarat for their match against Melbourne Stars on Saturday.
Aaron Finch's side beat Sri Lanka and Pakistan in recent back-to-back T20 series to go unbeaten in the format in 2019 and Gilchrist said home conditions would make Australia hard to beat when the World Cup starts next October.
The 16-year-old Naseem Shah would eclipse former home captain Ian Craig as the youngest Test debutant on Australian soil.
The middle-order batsman's decision comes barely a week after Glenn Maxwell withdrew from Australia's Twenty20 team to deal with similar issues.
After beginning their second innings 340 runs behind Australia and then losing three cheap wickets in the afternoon session on Saturday, the Pakistanis put up stern resistance Sunday before finally succumbing late in the final session.
The result meant Australia finished second in Group B behind Jordan.
Seamer Mitchell Starc grabbed four wickets as Pakistan staggered to 96/6 at stumps in reply to Australia's 589/3 declared in the day-night Test.
During a 30-minute reflection on his career on cricket.com.au's The Unplayable Podcast, Gilchrist recalled the famous 2001 Test series against India which saw Australia end their 16-Test winning streak.
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