Dukkha doesn't just involve clinging, that is mental dukkha. There is physical suffering as well
The Buddhas teaching is for the removal of mental dukkha, or the dukkha that comes from craving and clinging not physical pain
The buddha lived for 40 years after his enlightenment and had realised nibbana and claimed he was free from dukkha but still felt physical pain
thinking that one is to rid oneself of the aggregates is a misunderstanding
This is why the buddha taught that an ignorant person is struck by the arrow of dukkha twice, one in the body etc and once in the mind but the arahant is struck once just in the body but has wisdom so dukkha doesnt arise in the mind
The Blessed One said, "When touched with a feeling of pain, the uninstructed run-of-the-mill person sorrows, grieves, & laments, beats his breast, becomes distraught. So he feels two pains, physical & mental. Just as if they were to shoot a man with an arrow and, right afterward, were to shoot him with another one, so that he would feel the pains of two arrows; in the same way, when touched with a feeling of pain, the uninstructed run-of-the-mill person sorrows, grieves, & laments, beats his breast, becomes distraught. So he feels two pains, physical & mental.
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"Now, the well-instructed disciple of the noble ones, when touched with a feeling of pain, does not sorrow, grieve, or lament, does not beat his breast or become distraught. So he feels one pain: physical, but not mental. Just as if they were to shoot a man with an arrow and, right afterward, did not shoot him with another one, so that he would feel the pain of only one arrow. In the same way, when touched with a feeling of pain, the well-instructed disciple of the noble ones does not sorrow, grieve, or lament, does not beat his breast or become distraught. He feels one pain: physical, but not mental.
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the Buddha defines what he teaches quite clearly here
"Birth is dukkha, aging is dukkha, death is dukkha; sorrow, lamentation, pain, grief, & despair are dukkha; association with the unbeloved is dukkha; separation from the loved is dukkha; not getting what is wanted is dukkha. In short, the five aggregates affected by clinging are dukkha.
the aggregates arent dukkha themselves, clinging to them is dukkha