已知|\( \overrightarrow{a}\)|=4\( ,\)|\( \overrightarrow{b}\)|=3\( ,\)且(2\( \overrightarrow{a}-\)3\( \overrightarrow{b}\))⦁(2\( \overrightarrow{a}+\overrightarrow{b}\))=61.
(1)\( \overrightarrow{a}\mathrm{⦁}\overrightarrow{b}\)的值;
(2)求\( \overrightarrow{a}\)与\( \overrightarrow{b}\)的夹角;
(3)求|\( \overrightarrow{a}+\overrightarrow{b}|\)的值.