The bark is an ironbark - hard, coarsely fissured, grey-black. Closely related to Yellow Gum. Based on location and buds > 3 it is most likely Red Ironbark aka Mugga Ironbark (Eucalyptus sideroxylon) which has 7 or more, if they have not been broken off by one of the birds it attracts. Lovely image in flower, a very important species for nectar feeding birds and insects, as you are seeing first hand :)
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