Best Practice for Funds Checking for Assets accounts

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We will be using budgetary control against GL control budgets, for both expense natural accounts as well as fixed assets natural accounts for direct acquisition and CIP clearing accounts for construction costs. We know that the asset clearing accounts and CIP clearing accounts need to be included in the range of natural accounts subject to funds control, however I think we also need to include the asset cost accounts in the funds control? I think that there is no funds checking during assets additions, however the additions journal entries sent to GL would be funds checked then?