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In my time I've lived through shortages of such as bus drivers, bar staff, nurses/carers, foundry workers, textile workers, agricultural workers amongst others which has been met variously with West Indians, Aussies, Filipinos, Sikhs, Bangladeshis and Eastern Europeans by the hundreds of thousands.
Capital will always want cheap overseas labour if it can get away with it. It's always easier than paying appropriate wages or investing in training or automation or asking why the present workforce is not more productive.
Capital does not however have to provide housing, health, education, infrastructure etc.